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Finding the Fourth Proportional to 295,892.26, 443,950.20 and 177,646.03

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Solution

The fourth proportional to 295,892.26, 443,950.20 and 177,646.03 is: 266,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,892.26 : 443,950.20 = 177,646.03 : x
  2. Step 2: Convert to fraction form
    295,892.26/443,950.20 = 177,646.03/x
  3. Step 3: Cross multiply
    295,892.26x = 443,950.20 × 177,646.03
  4. Step 4: Simplify right side
    295,892.26x = 78,865,989,437.83
  5. Step 5: Solve for x
    x = 78,865,989,437.83/295,892.26
  6. Step 6: Final answer
    x = 266,536.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.